How do I calculate percentage change?

Percentage change = ((New Value - Old Value) / Old Value) × 100. Positive results show increases, negative results show decreases.

What is the difference between percentage and percentage points?

Percentage shows proportional change, while percentage points show absolute change. For example, 10% to 15% is a 50% increase or 5 percentage points.

How do I find what percentage one number is of another?

Divide the part by the whole and multiply by 100. For example, 25 is what percent of 100? (25/100) × 100 = 25%.

Ratio Calculator

Calculate percentages, percentage change, and percentage of numbers.

Calculation Type

What do you want to calculate?

Input Values

First Ratio (A:B)

Mixing Calculator

Mix Ratio (A:B)

Total Amount

Simplified Ratio

3:4

Original: 3:4

Step-by-Step Solution

GCD is 1, so 3÷1 : 4÷1 = 3:4

As Decimal

0.75

3 ÷ 4

As Percentage

42.86%

3 out of total

Mixing Results

Part A

Part B

100

Total

Ratio 2:3 out of 5 total parts

Equivalent Ratios

3:4

6:8

9:12

12:16

15:20

18:24

How it works

A ratio compares two quantities. This calculator simplifies a ratio to its lowest terms (by dividing both sides by their greatest common divisor) and scales it up or down while keeping the proportion intact.

Simplify & scale a ratio

Simplify: divide a : b by gcd(a, b)        Scale: a : b = (a·k) : (b·k)

a : b: the two parts of the ratio
gcd: greatest common divisor of a and b

Worked example

Ratio 8 : 12

gcd(8, 12) = 4
8 ÷ 4 : 12 ÷ 4

8 : 12 simplifies to 2 : 3.

Good to know

A ratio a : b is the same proportion as the fraction a/b, so the same simplifying rules apply.
To split a total in a ratio, add the parts (2 + 3 = 5) and give each its share of the whole.
Equivalent ratios scale by the same factor on both sides.